HP PPL and Statistical distributions

05232021, 01:43 PM
Post: #21




RE: HP PPL and Statistical distributions
Undoubtedly your program is well done: fast and flexible. I use it for Tukey's post hoc analysis in randomized blockdesign ANOVA and for post hoc analysis in Fridman's ANOVA.
Thanks, you helped me a lot. Best regards, Roberto. 

05232021, 02:00 PM
Post: #22




RE: HP PPL and Statistical distributions
(05232021 01:32 PM)Albert Chan Wrote: CAS> inf > 3+4i → 1 I am very surprised by reading this. I must have missed a step in the advancement of mathematics. The last time I was told about the properties of complex numbers field, there were no order relation available for it. Therefore, no one may attempt a comparison between any complex number nor between a complex number and a real ! What's the new under the sky that have ordered the complex numbers ? That is surely a Vander full invention or an epic monster ! In this CAS software environment , what would be the result of comparing 4 + 7i and 14 + 0.3i ? 

05232021, 03:36 PM
(This post was last modified: 05252021 12:35 PM by Albert Chan.)
Post: #23




RE: HP PPL and Statistical distributions
(05232021 02:00 PM)C.Ret Wrote: The last time I was told about the properties of complex numbers field, there were no order relation available for it. It was not about comparing 2 complex numbers, but against a "symbolic" infinity. My guess symbolic infinity is defined bigger than any finite values, independent of type. The issue is this line in quad: < IF bool(a>b) == bool(mode==2) THEN d:=d END My patch to extend to complex numbers (which turned out not needed in PPL) // If integration limits are [a, inf] or [inf, b], switch direction of integration. > IF (mode==2 AND b<0) OR (mode==1 AND a<0) THEN d:=d END But, you do have a point. Patch is more readable, and less reliance on PPL "feature" (which might changed in the future). I am patching this to quad. Thanks, C.Ret Update1: replace indirect (mode!=2) as (mode==1) Update2: replace complicated test with simpler equivalent code < IF mode == 2 THEN c:=a ELSE c:=b END < IF (mode==2 AND b<0) OR (mode==1 AND a<0) THEN d:=d END < s := f(c+d) > c, s := a, b; // c = finite edge > IF mode == 1 THEN c, s := b, a END > IF s < 0 THEN d:=d END > s := f(c+d) 

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